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Finding the Third Proportional to 204,638,224.50 and 314,546,950.50

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Solution

The third proportional to 204,638,224.50 and 314,546,950.50 is: 483,486,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,638,224.50 : 314,546,950.50 = 314,546,950.50 : x
  2. Step 2: Convert to fraction form
    204,638,224.50/314,546,950.50 = 314,546,950.50/x
  3. Step 3: Cross multiply
    204,638,224.50x = 314,546,950.50 × 314,546,950.50
  4. Step 4: Simplify right side
    204,638,224.50x = 98,939,784,068,849,456
  5. Step 5: Solve for x
    x = 98,939,784,068,849,456/204,638,224.50
  6. Step 6: Final answer
    x = 483,486,329.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.